Extensions 1→N→G→Q→1 with N=C₉ and Q=C₆²

Direct product G=N×Q with N=C₉ and Q=C₆²

		d	ρ	Label	ID
C₃×C₆×C₁₈		324		C3xC6xC18	324,151

Semidirect products G=N:Q with N=C₉ and Q=C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊C₆² = C₆×C₉⋊C₆	φ: C₆²/C₆ → C₆ ⊆ Aut C₉	36	6	C9:C6^2	324,140
C₉⋊₂C₆² = C₂×C₆×3_-¹⁺²	φ: C₆²/C₂×C₆ → C₃ ⊆ Aut C₉	108		C9:2C6^2	324,153
C₉⋊₃C₆² = D₉×C₃×C₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₉	108		C9:3C6^2	324,136

Non-split extensions G=N.Q with N=C₉ and Q=C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.₁C₆² = C₂²×C₂₇⋊C₃	central extension (φ=1)	108		C9.1C6^2	324,85
C₉.₂C₆² = C₂²×C₉○He₃	central extension (φ=1)	108		C9.2C6^2	324,154

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Extensions 1→N→G→Q→1 with N=C9 and Q=C62